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Finding the Fourth Proportional to 338.72, 466.32 and 294.80

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Solution

The fourth proportional to 338.72, 466.32 and 294.80 is: 405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.72 : 466.32 = 294.80 : x
  2. Step 2: Convert to fraction form
    338.72/466.32 = 294.80/x
  3. Step 3: Cross multiply
    338.72x = 466.32 × 294.80
  4. Step 4: Simplify right side
    338.72x = 137,471.14
  5. Step 5: Solve for x
    x = 137,471.14/338.72
  6. Step 6: Final answer
    x = 405.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.